Equation is 2(3x+24)=9x+18
Answer is x=10
Bisector means it cuts it in half so ABD is the same as DBC. The whole angle is 9x+18 which is the same as doubling 3x+24 since thats half of if hence the equation 2(3x+24)=9x+18
To solve for x you have to distribute 2(3x+24) by multiplying 2 to 3x and 24
New equation is 6x+48=9x+18
Subtract 6x both sides
48=3x+18
Subtract 18 both sides
30=3x
Divide both sides by 3
10=x
Answer:
6 < x < 30
Step-by-step explanation:
By the Hinge Theorem, we know that
Angle BAC > Angle DAC
The two triangles that make the diamond have two equal sides. The third side of the upper triangle is longer than the third side if the lower triangle. To fit in the longer side, line AB had to be pushed outwards, forming a larger angle.
When we compare the two angles 48 and (2x-12), we now know that 48 is larger.
48 > 2x-12
48+12 > 2x
60 > 2x
60/2 > x
x < 30
Furthermore, angle DAC can't be negative or zero
2x - 12 > 0
2x > 12
x > 6
Answer:
3
4
7
9
12
<em>Hope that helps!</em>
<em>-Sabrina</em>
Step-by-step explanation: